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Volumn 17, Issue 2, 2004, Pages 671-689

Spectral theory for nonanalytic coupled map lattices

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EID: 1642274688     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/17/2/018     Document Type: Article
Times cited : (4)

References (30)
  • 2
    • 0032087293 scopus 로고    scopus 로고
    • The spectrum of weakly coupled map lattices
    • Baladi V et al 1998 The spectrum of weakly coupled map lattices J. Math. Pure Appl. 77 539-84
    • (1998) J. Math. Pure Appl. , vol.77 , pp. 539-584
    • Baladi, V.1
  • 3
    • 0035981341 scopus 로고    scopus 로고
    • Limit theorems for coupled analytic maps
    • Bardet J B 2002 Limit theorems for coupled analytic maps Probab. Theory Relat. Fields 124 151-77
    • (2002) Probab. Theory Relat. Fields , vol.124 , pp. 151-177
    • Bardet, J.B.1
  • 4
    • 0041972697 scopus 로고    scopus 로고
    • Ruelle-Perron-Frobenius spectrum for Anosov maps
    • Blank M et al 2002 Ruelle-Perron-Frobenius spectrum for Anosov maps Nonlinearity 15 1905-73
    • (2002) Nonlinearity , vol.15 , pp. 1905-1973
    • Blank, M.1
  • 8
    • 0001163022 scopus 로고
    • Spacetime chaos in coupled map lattices
    • Bunimovich L A and Sinai Ya G 1988 Spacetime chaos in coupled map lattices Nonlinearity 1 491-516
    • (1988) Nonlinearity , vol.1 , pp. 491-516
    • Bunimovich, L.A.1    Sinai, Ya.G.2
  • 11
    • 0034416777 scopus 로고    scopus 로고
    • Transfer operators for coupled analytic maps
    • Fischer T and Rugh H H 2000 Transfer operators for coupled analytic maps Ergod. Theory Dyn. Syst. 20 109-43
    • (2000) Ergod. Theory Dyn. Syst. , vol.20 , pp. 109-143
    • Fischer, T.1    Rugh, H.H.2
  • 13
    • 0035534915 scopus 로고    scopus 로고
    • On the definition of SRB-measures for coupled map lattices
    • Järvenpää E and Järvenpää M 2001 On the definition of SRB-measures for coupled map lattices Commun. Math. Phys. 220 1-12
    • (2001) Commun. Math. Phys. , vol.220 , pp. 1-12
    • Järvenpää, E.1    Järvenpää, M.2
  • 15
    • 0000983845 scopus 로고
    • Ergodicité et measures invariantes pour les transformations dilatantes par morceaux d'une région bornée du plan
    • Keller G 1979 Ergodicité et measures invariantes pour les transformations dilatantes par morceaux d'une région bornée du plan C. R. Acad. Sci. Paris A 289 625-7
    • (1979) C. R. Acad. Sci. Paris A , vol.289 , pp. 625-627
    • Keller, G.1
  • 16
    • 0041532956 scopus 로고    scopus 로고
    • Coupled map lattices via transfer operators on functions of bounded variation
    • ed S J van Strien and S M Verduyn Lunel (Kon. Nederl. Akad. Wetensch. Verhandelingen, Afd. Natuurkunde, Eerste Reeks)
    • Keller G 1996 Coupled map lattices via transfer operators on functions of bounded variation Stochastic and Spatial Structures of Dynamical Systems vol 45, ed S J van Strien and S M Verduyn Lunel (Kon. Nederl. Akad. Wetensch. Verhandelingen, Afd. Natuurkunde, Eerste Reeks) pp 71-80
    • (1996) Stochastic and Spatial Structures of Dynamical Systems , vol.45 , pp. 71-80
    • Keller, G.1
  • 17
    • 0038853469 scopus 로고    scopus 로고
    • Interval maps with strictly contracting Perron-Frobenius operators
    • Keller G 1999 Interval maps with strictly contracting Perron-Frobenius operators Int. J. Bifurc. Chaos 9 1777-84
    • (1999) Int. J. Bifurc. Chaos , vol.9 , pp. 1777-1784
    • Keller, G.1
  • 18
    • 84971957453 scopus 로고
    • Transfer operators for coupled map lattices
    • Keller G and Künzle M 1992 Transfer operators for coupled map lattices Ergod. Theory Dyn. Syst. 12 297-318
    • (1992) Ergod. Theory Dyn. Syst. , vol.12 , pp. 297-318
    • Keller, G.1    Künzle, M.2
  • 19
    • 0041973433 scopus 로고    scopus 로고
    • Unidirectionally coupled interval maps: Between dynamics and statistical mechanics
    • Keller G and Zweimüller R 2002 Unidirectionally coupled interval maps: between dynamics and statistical mechanics Nonlinearity 15 1-24
    • (2002) Nonlinearity , vol.15 , pp. 1-24
    • Keller, G.1    Zweimüller, R.2
  • 22
    • 84966227493 scopus 로고
    • On the existence of invariant measures for piecewise monotonic transformations
    • Lasota A and Yorke J A 1973 On the existence of invariant measures for piecewise monotonic transformations Trans. Am. Math. Soc. 186 481-8
    • (1973) Trans. Am. Math. Soc. , vol.186 , pp. 481-488
    • Lasota, A.1    Yorke, J.A.2
  • 23
    • 0000345142 scopus 로고
    • Decay of correlations
    • Liverani C 1995 Decay of correlations Ann. Math. 142 239-301
    • (1995) Ann. Math. , vol.142 , pp. 239-301
    • Liverani, C.1
  • 24
    • 21844485876 scopus 로고
    • Decay of correlations for piecewise expanding maps
    • Liverani C 1995 Decay of correlations for piecewise expanding maps J. Stat. Phys. 18 1111-29
    • (1995) J. Stat. Phys. , vol.18 , pp. 1111-1129
    • Liverani, C.1
  • 25
    • 0035346907 scopus 로고    scopus 로고
    • Rigorous numerical investigation of the statistical properties of piecewise expanding maps. A feasibility study
    • Liverani C 2001 Rigorous numerical investigation of the statistical properties of piecewise expanding maps. A feasibility study Nonlinearity 14 463-90
    • (2001) Nonlinearity , vol.14 , pp. 463-490
    • Liverani, C.1
  • 26
    • 0036661149 scopus 로고    scopus 로고
    • Coupled maps and analytic function spaces
    • Rugh H H 2002 Coupled maps and analytic function spaces Ann. Sci. ÉC. Norm. Sup. 35 489-535
    • (2002) Ann. Sci. ÉC. Norm. Sup. , vol.35 , pp. 489-535
    • Rugh, H.H.1
  • 27
    • 0001836914 scopus 로고
    • Bounded variation and invariant measures
    • Rychlik M 1983 Bounded variation and invariant measures Stud. Math. 76 69-80
    • (1983) Stud. Math. , vol.76 , pp. 69-80
    • Rychlik, M.1
  • 29
    • 1642313607 scopus 로고    scopus 로고
    • The (non)tensor structure of BV-spaces
    • Schmitt M 2001 The (non)tensor structure of BV-spaces Result. Math. 39 91-8
    • (2001) Result. Math. , vol.39 , pp. 91-98
    • Schmitt, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.